Solve by using square roots
solve by factoring

- 5m² = - 125

m = 5 and m = - 5

4n² - 64 = 0

n = 4 and n = - 4

x² + 7x + 12 = 0

x = - 3 and x = - 4

5x² - 10x = 0

x = 2 and x = 0

Step-by-step explanation:

- 5m² = - 125

- 5m² × - 1 = - 125 × - 1

5m² = 125

5m² ÷ 5 = 125 ÷ 5

m² = 25

√m² = √25

m = 5

m = - 5

4n² - 64 = 0

4n² - 64 + 64 = 0 + 64

4n² = 64

4n² ÷ 4 = 64 ÷ 4

n² = 16

√n² = √16

n = 4

n = - 4

x² + 7x + 12 = 0

(x + 3)(x + 4) = 0

x + 3 = 0

x + 4 = 0

x + 3 = 0

x + 3 - 3 = 0 - 3

x = - 4

x + 4 = 0

x + 4 - 4 = 0 - 4

x = - 4

5x² - 10x = 0

5(x² - 2x) = 0

5(x - 2) · x = 0

x - 2 = 0

x = 0

x - 2 = 0

x - 2 + 2 = 0 + 2

x = 2

x = 0

Quadratic Formula

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 7x + 12 = 0

a = 1

b = 7

c = 12

Two separate equations

x = - 6 ÷ 2

x = - 3

x = - 8 ÷ 2

x = - 4

5x² - 10x = 0

5(x² - 2x) = 0

(5(x² - 2x)) ÷ 5 = 0 ÷ 5

x² - 2x = 0

Ignore the A before the ±. It wouldn't let me type it correctly.

a = 1

b = - 2

c = 0

Two separate equations

x = 4 ÷ 2

x = 2

x = 0 ÷ 2

x = 0